Fractions: thirds, quarters and halves – Year 2 maths worksheet answers to download as PDF

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1. Answer to Question 1

   1. 1 of 2 equal parts: ¹⁄₂.
   2. 1 of 3 equal parts: ¹⁄₃.
   3. 3 of 4 equal parts: ³⁄₄.
   4. 1 of 4 equal parts: ¹⁄₄.

2. Answer to Question 2

   1. Only cake A shows halves because its two parts are equal. Cake B has parts of different sizes.
   2. Cake C is cut into 4 equal parts, so each part is a quarter.
   3. The three parts of cake D are not the same size, so they are not thirds.

3. Answer to Question 3

   1. Half means 2 equal groups. 4 + 4 = 8, so half of 8 is 4.
   2. 7 + 7 = 14, so half of 14 is 7.
   3. 10 + 10 = 20, so half of 20 is 10.
   4. Halve the tens and the ones separately: half of 30 is 15 and half of 6 is 3. 15 + 3 = 18. Check: 18 + 18 = 36.
   5. Half of 50: half of 40 is 20 and half of 10 is 5, so the answer is 25. Check: 25 + 25 = 50.

4. Answer to Question 4

   1. 12 ÷ 4 = 3.
   2. 20 ÷ 4 = 5.
   3. 9 ÷ 3 = 3.
   4. 18 ÷ 3 = 6.
   5. 30 ÷ 3 = 10.
   6. 40 ÷ 4 = 10.

5. Answer to Question 5

   1. One half is the same as 2 quarters.
   2. Two quarters is the same as 1 half. The missing number is 2.
   3. 2 halves make a whole, so the missing number is 2.
   4. 4 quarters make a whole, so the missing number is 4.

6. Answer to Question 6

   1. A quarter of 8 is 2. 3 × 2 = 6.
   2. A third of 6 is 2. 2 × 2 = 4.
   3. A quarter of 16 is 4. 3 × 4 = 12.
   4. A third of 21 is 7. 2 × 7 = 14.
   5. A quarter of 12 is 3. 2 × 3 = 6. This is the same as half of 12.

7. Answer to Question 7

   1. 2 of 8 slices is ²⁄₈, which is ¹⁄₄ of the pizza.
   2. A quarter of 8 is 8 ÷ 4 = 2 slices.
   3. 8 − 2 − 2 = 4 slices are left. 4 ÷ 2 = 2 slices each.
   4. Mia eats 2 of 8 slices, which is ¹⁄₄ of the pizza.

8. Answer to Question 8

   1. Half of 20 is 20 ÷ 2 = 10p.
   2. A quarter of 20 is 20 ÷ 4 = 5p.
   3. A quarter of 20 is 5p.
   4. 10 + 5 + 5 = 20p. All of the pocket money is shared out. Half plus a quarter plus a quarter makes one whole.

9. Answer to Question 9

   1. 12 ÷ 3 = 4 scoops.
   2. 8 ÷ 4 = 2 spoons.
   3. 10 ÷ 2 = 5 raisins.
   4. She uses 5 raisins and 4 oats scoops. 5 is bigger than 4, so she uses more raisins than oats scoops. Mum is not right.

10. Answer to Question 10

    1. 12 ÷ 3 = 4 squares.
    2. 12 ÷ 4 = 3 squares.
    3. 12 − 4 − 3 = 5 squares.
    4. Half of 12 is 6. The fridge has 5 squares and 5 is smaller than 6, so it is less than half.

11. Answer to Question 11

    1. 24 ÷ 3 = 8 children.
    2. 24 ÷ 4 = 6 children.
    3. 24 − 8 − 6 = 10 children.
    4. 6 × 2 = 12 badges.

12. Answer to Question 12

    1. 16 ÷ 2 = 8 tulips.
    2. 16 ÷ 4 = 4 daffodils.
    3. 16 − 8 − 4 = 4 roses.
    4. 4 − 2 = 2 roses. Half of the roses are left.

13. Answer to Question 13

    1. An hour is 60 minutes. A quarter means 4 equal parts, and 15 + 15 + 15 + 15 = 60. So a quarter of an hour is 15 minutes.
    2. Half means 2 equal parts: 30 + 30 = 60, so half an hour is 30 minutes.
    3. A third means 3 equal parts of 60 minutes: 20 + 20 + 20 = 60. The class watch 20 minutes of the film.
    4. Add break and lunch: 15 + 30 = 45 minutes. That is the same as three quarters of an hour.

14. Answer to Question 14

    1. 20 ÷ 4 = 5 cm each.
    2. 3 of the 4 pieces is ³⁄₄ of the ribbon.
    3. 3 × 5 = 15 cm.
    4. 20 − 15 = 5 cm, which is one quarter.

15. Answer to Question 15

    1. 36 ÷ 3 = 12 sweets.
    2. 36 − 12 = 24 sweets.
    3. A quarter of 24 is 24 ÷ 4 = 6 sweets. 24 − 6 = 18 sweets left.
    4. Half of 18 is 18 ÷ 2 = 9 sweets.
    5. 18 − 9 = 9 sweets left. Half of 36 is 18, and 36 − 9 = 27 sweets have gone. 27 is more than 18, so yes, the head teacher is right.

16. Answer to Question 16

    1. 24 ÷ 2 = 12 children.
    2. 24 ÷ 4 = 6 children.
    3. 24 − 12 − 6 = 6 children.
    4. A third of 6 is 6 ÷ 3 = 2 girls.
    5. 12 football players make 3 groups of 4. 3 × 3 = 9 footballs.

17. Answer to Question 17

    1. 24 ÷ 4 = 6 panels.
    2. 24 ÷ 2 = 12 panels.
    3. 24 − 6 − 12 = 6 panels.
    4. Half of 6 is 6 ÷ 2 = 3 panels.
    5. 3 of the 6 Sunday panels are the different colour. That is ¹⁄₂ of the Sunday panels.

18. Answer to Question 18

    1. 12 ÷ 3 = 4 pieces.
    2. 12 ÷ 4 = 3 pieces.
    3. 12 − 4 − 3 − 2 = 3 pieces.
    4. One third, written ¹⁄₃.
    5. 4 + 3 + 2 = 9 pieces have gone. Half of 12 is 6 and 9 is more than 6. No, more than half has gone. Nine twelfths have gone.

19. Answer to Question 19

    1. 24 ÷ 3 = 8 marbles.
    2. 24 − 8 = 16 marbles.
    3. Half of 16 is 16 ÷ 2 = 8 marbles.
    4. 8 + 5 = 13 marbles.
    5. 24 − 13 = 11. Jamal has 11 fewer marbles than at the start.

20. Answer to Question 20

    1. A quarter is one of 4 equal parts. 4 × 6 = 24. Check: 24 ÷ 4 = 6.
    2. Two thirds is 8, so one third is 8 ÷ 2 = 4. The whole is 3 × 4 = 12. Check: a third of 12 is 4 and two thirds is 8.
    3. Half of 10 is 5. A quarter of 24 is 6. 6 is bigger than 5, so a quarter of 24 is bigger.
    4. No. Two quarters is equivalent to one half, so they are the same size. Both fill half of the pizza.